The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 0 1 1 1 X 1 1 1 X 2X 1 1 1 0 1 1 X 2X 1 2X 2X 1 1 1 1 0 X 1 1 1 X 2X 1 2X 0 1 X 1 X 1 1 1 1 1 2X 1 1 1 1 0 1 1 0 X 2X 1 0 1 0 0 2X 0 X X 2X 2X 2X 2X 2X+1 1 X+2 1 2X+1 X+2 2X+2 1 X+1 2X+1 2 1 2 1 2 1 1 X+2 2 X+1 1 1 X+2 1 1 2X+1 X 1 X X 2X+1 X+1 1 0 0 0 X X 1 X+1 1 2X 2 1 X+1 1 0 2 2X+2 X X 2X 2X+1 2 1 1 X X 2X+2 1 1 1 2 0 0 1 0 0 X 2X+1 2 2X+1 2 X+1 X+2 2X+2 2 2X+2 X 2 X+2 X+2 2X+2 X+1 2X 1 2 2X 1 2X+1 2X X+1 2X X X X+1 X+2 1 1 2 0 1 2X 2X 0 X+1 0 X 1 0 X+1 X+2 1 2X+1 2X 2X+2 X 2X+2 X+2 X+1 X+1 2X+2 2X+1 2X+2 X 1 1 2X 0 2X+1 2 0 2X+1 0 X+2 2X+1 2X+1 X+1 0 0 0 1 2X+1 2X+2 2X+1 1 2X+2 0 X 2 X+2 X+1 X+1 2X+2 2X X+2 0 X+2 2X X 1 2X+1 X+2 2 2 X+1 X+1 0 2X+1 X+1 2X X 0 X+2 X 2 2 0 2X+2 2X 1 1 2X+2 X X+1 0 X X+1 2X+2 X 2X+1 1 X+1 2X 2X+1 2 X+2 2X+1 2X+1 X+2 2X X+1 X+2 2X+2 2X 2 1 2X+2 2X X X+2 2X+1 X generates a code of length 75 over Z3[X]/(X^2) who´s minimum homogenous weight is 140. Homogenous weight enumerator: w(x)=1x^0+324x^140+300x^141+630x^143+390x^144+864x^146+406x^147+798x^149+276x^150+546x^152+194x^153+468x^155+268x^156+294x^158+150x^159+216x^161+88x^162+132x^164+82x^165+60x^167+30x^168+30x^170+2x^171+12x^173 The gray image is a linear code over GF(3) with n=225, k=8 and d=140. This code was found by Heurico 1.16 in 0.938 seconds.